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Finding the Third Proportional to 23,614.50 and 36,857

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Solution

The third proportional to 23,614.50 and 36,857 is: 57,525.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,614.50 : 36,857 = 36,857 : x
  2. Step 2: Convert to fraction form
    23,614.50/36,857 = 36,857/x
  3. Step 3: Cross multiply
    23,614.50x = 36,857 × 36,857
  4. Step 4: Simplify right side
    23,614.50x = 1,358,438,449
  5. Step 5: Solve for x
    x = 1,358,438,449/23,614.50
  6. Step 6: Final answer
    x = 57,525.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.